# Algebra

If x^2y^2+x^3y^4=(3xy)^2,then xy^2=
a. 1.5
b.4
c.8
d.16
e.64

1. 👍 0
2. 👎 0
3. 👁 37
1. x ^ 2 * y ^ 2 + x ^ 3 * y ^ 4 = ( 3 x y ) ^ 2

x ^ 2 * y ^ 2 + x ^ 2 * y ^ 2 ( x * y ^ 2 ) = 9 x ^ 2 * y ^ 2

x ^ 2 * y ^ 2 * ( 1 + x * y ^ 2 ) = 9 * x ^ 2 * y ^ 2 Divide both sides by x ^ 2 * y ^ 2

1 + x * y ^ 2 = 9 Subtract 1 to both sides

1 + x * y ^ 2 - 1 = 9 - 1

x * y ^ 2 = 8

x y ^ 2 = 8

1. 👍 0
2. 👎 0
posted by Bosnian

## Similar Questions

Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2? I think this is 2/3xy choices were 2/xy 3xy 2xy 2/3xy Simplify 12xyz^-2/8x^-2z

asked by Jessie on October 18, 2010

Posted by Jessie on Monday, October 18, 2010 at 3:48pm. I think I figured it out-please check I'm really stuck on these problems- Simplify 6xy(3xy)^-2? I think this is 2/3xy choices were 2/xy 3xy 2xy 2/3xy Simplify 12xyz^-2/8x^-2z

asked by Jessie on October 18, 2010
3. ### Simultaneous equation

X+y+z=1......(1) x^2+y^2+z^2=35........(2) x^3+y^3+z^3=97.........(3) solution but from 3 (x^3+y^3)=(x+y)^3-3xy(x+y)......(4) puting 4 into 3 bck (x+y)^3-3xy(x+y)+z^3=97.......(5) now from 1 x+y=1-z......(6) putin 6 into 7 we have

asked by Collins on October 7, 2015
4. ### polynomials

I have to simplify (-x^5y^4)^4(3x^2y)^2(1/3xy) I did (x^20y^16)(9x^4y^2)(1/3xy) (9x^24y^18)(1/3xy) 3x^25y^19 Is this correct? Thank you for your help!

asked by sara on September 25, 2016
5. ### Derive

Find the derivative of sin(2x + 3y)= 3xy + 5y-2. I have this so far 1) cos(2x+3y) * d/dx (2x+3y)= 3xy' + 3y + 5y' 2) cos (2x+3y) * [2 + 3y']= 3xy' + 3y + 5y' 3) 3y' cos (2x+3y) + 2cos(2x+3y)= 3xy' + 3y + 5y' 4) 3xy' + 5y' -

asked by Mary on March 7, 2013
6. ### Math help polynomial

multiply the following polynomial -3x(y^2+2y^2) answer choices 3xy^2-6xy^2' -3xy^2-gxy^2 -3xy^2+5y^2 -9xy^2 The last one was the answer. Can you tell me how the answer was solved? Thanks!

asked by Alex on February 15, 2014
7. ### differential equations

the directions are to determine whether or not the equation is exact if so then solve it. the question is (x-y^3+ysinx)dx = (3xy^2+2ycosx)dy i solve and i got that it is exact because My is -3y^2+2ysinx and Nx is -3y^2+2ysinx

asked by allison on October 8, 2008
8. ### Math

I have no clue how to do this as no values were given and im confused. can someone explain plz? if x^3-y^3=m and x-y=N, express xy in terms of M and N This is one of those pure manipulation problems. you have to know that x^3-y^3

asked by luke on May 3, 2007
9. ### Math!

1) What is the value of 19 + 5a^4 + 3b^2 when a = 2 and b = -4? (this is not a multiple choice question) but my answer is 147. 2)Combine the like terms to simplify the expression: 4 + 7xy^2 + 5y^3 + 10x -4xy^2 - 8x - 4y^3 + 9 -

asked by Anonymous on September 14, 2014
10. ### bobpursly,

Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) 3xy^2(5xy)=15x^2y^3 3xy^2(-4x)=-12x^2y^2 3xy^2(6y)=18xy^3 so i get from this 15x^2y^3-12x^2y^2+18xy^3 correct awsome i just thought that the 15x^2y^3-12x^2y^2

asked by jas20 on February 28, 2007
11. ### algebra 2

(w + 2t)(w^2 - 2wt + 4t^2) (x + y)(x^2 -3xy + 2y^2) =x^3 - 3x^2y + 2xy^2 + x^2y -3xy^2 + 2y^3 = x^3-2x^2y-xy^2+2y^3

asked by Reina Bonilla on January 21, 2015

More Similar Questions